Method to identify random characteristic of chaotic attractors

Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (15): 56-58.

• 学术探讨 • Previous Articles Next Articles

Method to identify random characteristic of chaotic attractors

FENG Ming-ku^1，2，XUE Ying-xiao²

1.College of Electronics & Information，South China University of Technology，Guangzhou 510640，China
2.Department of Electronic Information Engineering，Guangdong Polytechnical Normal University，Guangzhou 510665，China

Received:1900-01-01 Revised:1900-01-01 Online:2007-05-21 Published:2007-05-21
Contact: FENG Ming-ku

混沌吸引子随机性的一种判别方法

冯明库^1，2，薛迎霄²

1.华南理工大学电子与信息学院，广州 510640
2.广东技术师范学院电子信息工程系，广州 510665

通讯作者: 冯明库

Abstract

Abstract: In chaos scientific domain，there has been no common criterion about the strength of random characteristic of chaotic attractors up to now.In this paper，a principle and an algorithm about that are proposed，and the method doesn’t need phase space construction.Then the method is applied to simulate the periodic motion，the strong and weak chaos，two kinds of discrete map and white Gaussian noise.The result shows that the method is valid to identify the strength of random characteristic of different chaotic motions.

Key words: random characteristic, chaos, Logistic map, Henon map, white Gaussian noise

摘要： 在混沌科学领域，截至目前混沌吸引子随机性强弱还没有一个统一的评判标准，文章尝试提出了一种判别混沌随机性强弱的原理和算法，且该方法不需要相空间重构。应用该方法对周期运动、强弱混沌、两种离散混沌映射及噪声进行数值仿真，结果表明该方法能有效识别不同混沌运动的随机性强弱。

关键词: 随机性, 混沌, Logistic映射, Henon映射, 高斯白噪声

FENG Ming-ku^1，2，XUE Ying-xiao². Method to identify random characteristic of chaotic attractors[J]. Computer Engineering and Applications, 2007, 43(15): 56-58.

冯明库^1，2，薛迎霄². 混沌吸引子随机性的一种判别方法[J]. 计算机工程与应用, 2007, 43(15): 56-58.

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Method to identify random characteristic of chaotic attractors

混沌吸引子随机性的一种判别方法

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